160418999104 has 448 divisors, whose sum is σ = 445188441600. Its totient is φ = 55483564032.

The previous prime is 160418999101. The next prime is 160418999119. The reversal of 160418999104 is 401999814061.

160418999104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160418999101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99700252 + ... + 99701860.

It is an arithmetic number, because the mean of its divisors is an integer number (993724200).

Almost surely, 2^160418999104 is an apocalyptic number.

160418999104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160418999104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222594220800).

160418999104 is an abundant number, since it is smaller than the sum of its proper divisors (284769442496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

160418999104 is a wasteful number, since it uses less digits than its factorization.

160418999104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 52.

The spelling of 160418999104 in words is "one hundred sixty billion, four hundred eighteen million, nine hundred ninety-nine thousand, one hundred four".